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Finding the Fourth Proportional to 538,363.40, 806,853.90 and 413,083.40

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Solution

The fourth proportional to 538,363.40, 806,853.90 and 413,083.40 is: 619,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,363.40 : 806,853.90 = 413,083.40 : x
  2. Step 2: Convert to fraction form
    538,363.40/806,853.90 = 413,083.40/x
  3. Step 3: Cross multiply
    538,363.40x = 806,853.90 × 413,083.40
  4. Step 4: Simplify right side
    538,363.40x = 333,297,952,315.26
  5. Step 5: Solve for x
    x = 333,297,952,315.26/538,363.40
  6. Step 6: Final answer
    x = 619,094.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.